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We study the conformal properties of pseudo-scalar (parity-odd) operators in four-dimensional field theory. Such operators include the topological term in a gauge theory and the Yukawa coupling. We show that a single operator of this type…

High Energy Physics - Theory · Physics 2020-03-26 Dmitry Chicherin , Emery Sokatchev

We derive one-loop renormalization group equations (RGE's) for Yukawa coupling parameters of quarks and for the vacuum expectation values of the Higgs doublets in a general framework of the Standard Model with two Higgs doublets (2HDM…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Cvetic , C. S. Kim , S. S. Hwang

The renormalization in a Lorentz-breaking scalar-spinor higher-derivative model involving $\phi^4$ self-interaction and the Yukawa-like coupling is studied. We explicitly de- monstrate that the convergence is improved in comparison with the…

High Energy Physics - Theory · Physics 2018-07-04 J. R. Nascimento , A. Yu. Petrov , Carlos M. Reyes

Six-loop massive scheme renormalization group functions of a d=3-dimensional cubic model (J.M. Carmona, A. Pelissetto, and E. Vicari, Phys. Rev. B vol. 61, 15136 (2000)) are reconsidered by means of the pseudo-epsilon expansion. The…

Statistical Mechanics · Physics 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

We examine the anomalous dimension matrix appropriate for the phase space restricted B --> X(u) ell anti-nu and B --> X(s) gamma decay spectra to subleading nonperturbative order. The effects of the time ordered products of the HQET…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael Trott , Alexander R. Williamson

Starting from the one-loop divergences we obtained previously, we work out the renormalization of the Higgs-Electroweak Chiral Lagrangian explicitly and in detail. This includes the renormalization of the lowest-order Lagrangian, as well as…

High Energy Physics - Phenomenology · Physics 2021-10-13 G. Buchalla , O. Cata , A. Celis , M. Knecht , C. Krause

QCD evolution equations in minimal subtraction schemes have a hidden symmetry: One can construct three operators that commute with the evolution kernel and form an $SL(2)$ algebra, i.e. they satisfy (exactly) the $SL(2)$ commutation…

High Energy Physics - Phenomenology · Physics 2016-04-20 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

Standard Model Neutrino Effective Field Theory (SMNEFT) is an effective theory with Standard Model (SM) gauge-invariant operators constructed only from SM and right-handed neutrino fields. For the full set of dimension-six SMNEFT operators,…

High Energy Physics - Phenomenology · Physics 2021-02-03 Alakabha Datta , Jacky Kumar , Hongkai Liu , Danny Marfatia

We continue studying regularization scheme dependence of the $\mathcal{N}=2$ supersymmetric sigma models. In the present work the previous result for the four loop $\beta$-function is extended to the five loop order. Namely, we find the…

High Energy Physics - Theory · Physics 2026-04-22 Mikhail Alfimov , Andrey Kurakin

In the leading order of a modified 1/Nc expansion, we show that a class of gauge-Higgs-Yukawa systems in four dimensions give non-trivial and well-defined theories in the continuum limit. The renormalized Yukawa coupling y and the quartic…

High Energy Physics - Phenomenology · Physics 2017-02-01 M. Harada , Y. Kikukawa , T. Kugo , H. Nakano

In Little Higgs models a collective symmetry prevents the Higgs from acquiring a quadratically divergent mass at one loop. This collective symmetry is broken by weakly gauged interactions. Terms, like Yukawa couplings, that display…

High Energy Physics - Phenomenology · Physics 2011-03-18 Benjamín Grinstein , Randall Kelley , Patipan Uttayarat

We review the effective field theory approach to physics beyond the Standard Model using dimension-six operators. Topics include the choice of operator basis, electroweak boson pair production, precision electroweak physics (including…

High Energy Physics - Phenomenology · Physics 2015-06-18 Scott Willenbrock , Cen Zhang

We study a renormalizable four dimensional model with two deformed quantized space directions. A one-loop renormalization is performed explicitly. The Euclidean model is connected to the Minkowski version via an analytic continuation. At a…

High Energy Physics - Theory · Physics 2015-06-03 Harald Grosse , Michael Wohlgenannt

We compute the Renormalization Group functions of a Landau-Ginzburg-Wilson Hamiltonian with O(n)x O(m) symmetry up to five-loop in Minimal Subtraction scheme. The line n^+(m,d), which limits the region of second-order phase transition, is…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Pietro Parruccini

The gauge dependence of the renormalization group functions of the Ginzburg-Landau model is investigated. The analysis is done by means of the Ward-Takahashi identities. After defining the superconducting order parameter, it is shown that…

Superconductivity · Physics 2007-05-23 Claude de Calan , Flavio S. Nogueira

We calculate two-loop renormalization group equations (RGEs) in the Standard Model Effective Field Theory (SMEFT) with right-handed neutrinos, i.e., the so-called $\nu$SMEFT, up to dimension five. Besides the two-loop RGEs of dimension-five…

High Energy Physics - Phenomenology · Physics 2025-05-07 Di Zhang

In this paper, we derive the renormalization scale dependence of noncommutative mirror Yukawa couplings. To achieve this, we first formulate an Euclidean noncommutative version of the Yukawa sector within the electroweak-scale mirror right…

High Energy Physics - Phenomenology · Physics 2024-09-27 K. A. Bouteldja , N. Bouayed , S. Kouadik , F-Z Ighezou

We consider the Standard Model as an effective theory at the weak scale $v$ of a generic new strong interaction that dynamically breaks electroweak symmetry at the energy scale $\Lambda\sim $ (few) TeV. Assuming only the minimal field…

High Energy Physics - Phenomenology · Physics 2015-06-04 Gerhard Buchalla , Oscar Cata

We reexamine the problem of operator mixing in N = 4 SYM. Particular attention is paid to the correct definition of composite gauge invariant local operators, which is necessary for the computation of their anomalous dimensions beyond…

High Energy Physics - Theory · Physics 2010-04-05 Massimo Bianchi , Giancarlo Rossi , Yassen S. Stanev

Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the DR-bar scheme and put special emphasis on the additional couplings which have to be taken into…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. V. Harlander , D. R. T. Jones , P. Kant , L. Mihaila , M. Steinhauser
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